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A124769 Number of strictly decreasing runs for compositions in standard order. +0
2
0, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 4, 5, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 3, 3, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 6, 1, 1, 1, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 3, 3, 3, 4, 2, 2, 3, 3, 3, 3, 4, 5, 2, 2, 2, 3, 3, 2, 3, 4, 3 (list; graph; listen)
OFFSET

0,4

COMMENT

The standard order of compositions is given by A066099.

FORMULA

a(0) = 0, a(n) = A124764(n) + 1 for n > 0.

EXAMPLE

Composition number 11 is 2,1,1; the strictly increasing runs are 2,1; 1; so a(11) = 2.

The table starts:

0

1

1 2

1 1 2 3

CROSSREFS

Cf. A066099, A124764, A011782 (row lengths).

Adjacent sequences: A124766 A124767 A124768 this_sequence A124770 A124771 A124772

Sequence in context: A082850 A088198 A088426 this_sequence A128227 A140207 A104763

KEYWORD

easy,nonn,tabf

AUTHOR

Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 06 2006

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Last modified October 16 00:31 EDT 2008. Contains 145098 sequences.


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